Add 49/24 and 21/45
1st number: 2 1/24, 2nd number: 21/45
49/24 + 21/45 is 301/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 45 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 24 × 15 = 360,
49/24 = 49 × 15/24 × 15 = 735/360 - Likewise, for the 2nd fraction, since 45 × 8 = 360,
21/45 = 21 × 8/45 × 8 = 168/360 - Add the two like fractions:
735/360 + 168/360 = 735 + 168/360 = 903/360 - 903/360 simplified gives 301/120
- So, 49/24 + 21/45 = 301/120
In mixed form: 261/120
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